Results 21 to 30 of about 165,977,654 (290)

The étale cohomology ring of the ring of integers of a number field

Research in Number Theory, 2023
AbstractWe compute the cohomology ring $$H^*(X,{{\mathbb {Z}}}/n{{\mathbb {Z}}})$$ H ∗ ( X , Z /
Eric Ahlqvist, Magnus Carlson
openaire   +2 more sources

Determinants of some special matrices over commutative finite chain rings

Special Matrices, 2020
Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Jitman Somphong
doaj   +1 more source

Cycles of polynomial mappings in two variables over rings of integers in quadratic fields

Central European Journal of Mathematics, 2004
T Pezda
exaly   +2 more sources

Polyadic rings of p-adic integers

Symmetry, 2022
In this note we, first, recall that the sets of all representatives of some special ordinary residue classes become $\left( m,n\right) $-rings. Second, we introduce a possible $p$-adic analog of the residue class modulo a $p$-adic integer. Then, we find the relations which determine, when the representatives form a $\left( m,n\right) $-ring.
openaire   +3 more sources

Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]

, 2001
This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique, Ausoni, Christian, Mimura, Mamoru, Yagita, Nobuaki   +3 more
core   +1 more source

Smarandache near-rings [PDF]

, 2002
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
core   +1 more source

Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings , Q∪I, and [PDF]

Neutrosophic Sets and Systems, 2018
The concept of neutrosophy and indeterminacy I was introduced by Smarandache, to deal with neutralies. Since then the notions of neutrosophic rings, neutrosophic semigroups and other algebraic structures have been developed.
Vasantha W.B, Ilanthenral Kandasamy, Florentin Smarandache   +2 more
doaj   +1 more source

Torsion-free crystallographic groups with indecomposable holonomy group II. [PDF]

, 2004
Let K be a principal ideal domain, G a finite group, and M a KG-module which is a free K-module of finite rank on which G acts faithfully. A generalized crystallographic group is a non-split extension C of M by G such that conjugation in C induces the G ...
Bódi, Viktor, Bovdi, Victor A., Gudivok, P. M., Rudko, V. P.   +3 more
core   +1 more source

Finding Minimal Units In Several Two-Fold Fuzzy Finite Neutrosophic Rings [PDF]

Neutrosophic Sets and Systems
In this paper, we have defined the concept of minimal units in finite two-fold fuzzy neutrosophic rings modulo integers as a generalization of classical elements of the group of units of the mentioned neutrosophic rings.
Raed Hatamleh, Ayman Hazaymeh
doaj   +1 more source

Nondefinability of Rings of Integers in Most Algebraic Fields [PDF]

Notre Dame Journal of Formal Logic, 2021
We show that the set of algebraic extensions $F$ of $\mathbb{Q}$ in which $\mathbb{Z}$ or the ring of integers $\mathcal{O}_F$ are definable is meager in the set of all algebraic extensions.
Philip Dittmann, Arno Fehm
openaire   +4 more sources